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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Goyal, V.K. |
| Copyright Year | 2000 |
| Description | Author affiliation: Lucent Technol. Bell Labs., Murray Hill, NJ, USA (Goyal, V.K.) |
| Abstract | Karhunen-Loeve transforms (KLT's) are the optimal orthogonal transforms for transform coding of Gaussian sources. This well-known fact is usually established with approximations from high-resolution quantization theory. How high does the rate have to be for these approximations to be accurate? The minimum rate allocated to any component should be at least about one bit. (The average rate per component may be much higher.) Does the rate actually have to be high for the KLT to be optimal? No, the KLT is optimal more generally. Two new, simple proofs of this fact are described. They rely on a scale invariance property, but not on high-resolution approximations or properties of optimal fixed-rate quantization. |
| File Size | 134498 |
| File Format | |
| ISBN | 0780358570 |
| DOI | 10.1109/ISIT.2000.866505 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2000-06-25 |
| Publisher Place | Italy |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Transform coding Quantization Karhunen-Loeve transforms Vectors Bit rate Jacobian matrices Covariance matrix Rate distortion theory Lagrangian functions Convergence |
| Content Type | Text |
| Resource Type | Article |
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